|
| Set |
| CN | Set of candidate nodes |
| A | Set of links |
| H | Set of hubs |
| M | Set of modes |
|
| Parameters |
| | The weight when flow of mode m with direct OD distance l changes one unit |
| | The direct distance between OD pair |
| , | The capacity of the hub or link with mode m |
| | A binary function which equals 1 if x = 1, and 0, otherwise |
| , | The demolition cost or construction cost of mode m hub |
| | The purchase cost of one bus |
| | A binary function which equals 1 if x > 0, and 0, otherwise |
| | The operational cost for one bus traveling one kilometer |
| | The maximum number of bus routes |
| , | The minimum and maximum bus stop distance |
| , | The minimum and maximum bus route length |
| , | The minimum and maximum bus frequency |
| , | The minimum and maximum of bus fleet size |
| , | The minimum and maximum number of hubs with mode m |
| B1∼B4 | The weight of four objectives |
|
| Variables |
| , | Among OD pairs with direct distance between l − 1 and l km, the total flow of mode m in the optimization scheme or in the original network |
| , | The service level value of the hub or link with mode m |
| | 1 if route r starts at node j, and 0 otherwise |
| | 1 if route r ends at node i, and 0 otherwise |
| | 1 if route r () passes through node j immediately after node i, and 0 otherwise |
| , | 1 if terminal or interchange is allocated to candidate node i, and 0, otherwise |
| | 1 if mode m hub is allocated in node i, and 0 otherwise |
| | The length between node i and j of route r |
| | The length of route r |
| | The frequency of route r |
| | The fleet size of route r |
| TT | The total travel time of all users |
| TC | The total construction cost of the scheme |
| MS | The modal shift value of the scheme |
| BU | The balanced use value of the scheme |
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